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Class 12th RBSE 2014 Mathematics Paper

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1. If a line makes angles 90°, 60° and 30° with the positive direction of   x, y and z-axes respectively, find its direction cosines.
2. Find the angle between planes 2x + y - 2z = 5 and 3x - 6y - 2z = 7.
3. One kind of cake requires 200 gm of flour and 25 gm of fat, and another kind of cake requires 100 gm of flour and 50 gm of fat. Find the maximum number of cakes which can be made from 5 kg of flour and 1 kg of fat assuming that there is no shortage of other ingredients used in making the cakes.
4. An experiment succeeds twice as often as it fails. Find the probability that in the next six trials, there will at least 4 successes.

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